Ideas in Geometry/Instructive examples
This page will serve as an index of all problems worked out as instructive examples of the concepts involved in the course Ideas in Geometry/.
List the examples here as links.
Group Examples
[edit | edit source]Proving the Pythagorean Theorem By Picture/
Pythagorean Theorem Proof by Picture-Leonardo da Vinci Proof
Proving the Area of a Quadrilateral
Proving the Area of a Trapezoid
Proving Parallel Bisectors in Quadrilaterals
Proving Pythagorean Theorem Using Similar Angels
Individual Examples
[edit | edit source]Finding a Midset (21 from 1.3)
9 from 2.1, Proof by Picture using Venn Diagrams
Problem#22 from Section 1.3, Drawing a Parabola
Section 2.1 Basic Set Theory number 10
Continued Fractions, Section 3.2#30
Proving Sets Equal, Section 2.1#11
If-Then Truth Tables, Section 2.2#3
Proof by Vienn Diagrams Section 2.1#5
Section 2-3#3 Tessellating Nonregular Hexagons/
Section 3.2 Problem 42 - Lattice Area, Pick's Theorem, and Probability
Section 3.2 Problem 7-Using Brahmagupta's Formula
Lesson 17- Properties of Triangles